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Finding the Fourth Proportional to 129,165.20, 193,725.12 and 35,650.16

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Solution

The fourth proportional to 129,165.20, 193,725.12 and 35,650.16 is: 53,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,165.20 : 193,725.12 = 35,650.16 : x
  2. Step 2: Convert to fraction form
    129,165.20/193,725.12 = 35,650.16/x
  3. Step 3: Cross multiply
    129,165.20x = 193,725.12 × 35,650.16
  4. Step 4: Simplify right side
    129,165.20x = 6,906,331,524.02
  5. Step 5: Solve for x
    x = 6,906,331,524.02/129,165.20
  6. Step 6: Final answer
    x = 53,468.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.